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157466496 = 2731123389
BaseRepresentation
bin10010110001010…
…11111110000000
3101222022010102110
421120223332000
5310302411441
623343015320
73621304665
oct1130537600
9358263373
10157466496
1180981a00
124489a540
1326814555
1416cada6c
15dc56b16
hex962bf80

157466496 has 96 divisors (see below), whose sum is σ = 459887400. Its totient is φ = 47703040.

The previous prime is 157466489. The next prime is 157466501. The reversal of 157466496 is 694664751.

157466496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44770 + ... + 48158.

Almost surely, 2157466496 is an apocalyptic number.

157466496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157466496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229943700).

157466496 is an abundant number, since it is smaller than the sum of its proper divisors (302420904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157466496 is a wasteful number, since it uses less digits than its factorization.

157466496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3405 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 157466496 is about 12548.5654957051. The cubic root of 157466496 is about 540.0028532085.

The spelling of 157466496 in words is "one hundred fifty-seven million, four hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3389 3872 4224 5808 6778 7744 10167 11616 13556 15488 20334 23232 27112 37279 40668 46464 54224 74558 81336 108448 111837 149116 162672 216896 223674 298232 325344 410069 433792 447348 596464 650688 820138 894696 1192928 1230207 1301376 1640276 1789392 2385856 2460414 3280552 3578784 4771712 4920828 6561104 7157568 9841656 13122208 14315136 19683312 26244416 39366624 52488832 78733248 157466496